I would like to know the motivation of the geometric argument applied on a 'fundamental domain' to get the generators of $SL_2(\mathbb{Z})$. In particular, are there easier examples where this sort of proof works.
2026-03-25 07:48:57.1774424937
Generators of the Modular group (Motivation)
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I recommend that you look at Serre's book Trees, which discusses arguments of this sort, and related theory.